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2222414104013 is a prime number
BaseRepresentation
bin100000010101110010001…
…101000000010111001101
321212110102212012222211222
4200111302031000113031
5242403001002312023
64420543555053125
7316364331124055
oct40256215002715
97773385188758
102222414104013
1178757a907094
122ba875ba11a5
1313175a44468c
14797cb708565
153cc240cccc8
hex205723405cd

2222414104013 has 2 divisors, whose sum is σ = 2222414104014. Its totient is φ = 2222414104012.

The previous prime is 2222414104003. The next prime is 2222414104051. The reversal of 2222414104013 is 3104014142222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1756944948004 + 465469156009 = 1325498^2 + 682253^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222414104013 - 216 = 2222414038477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222414104003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111207052006 + 1111207052007.

It is an arithmetic number, because the mean of its divisors is an integer number (1111207052007).

Almost surely, 22222414104013 is an apocalyptic number.

It is an amenable number.

2222414104013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222414104013 is an equidigital number, since it uses as much as digits as its factorization.

2222414104013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2222414104013 its reverse (3104014142222), we get a palindrome (5326428246235).

The spelling of 2222414104013 in words is "two trillion, two hundred twenty-two billion, four hundred fourteen million, one hundred four thousand, thirteen".